(a) i) For ∫(4x−4)(2x^2-4x+2)^4 dx (upper boundry =1, lower =0) Make the substitution u=2x^2−4x+2, and write...
Homework Answers
![lve have Ls O u duy u du ts Hence 4 Lue have U-2. 5 Lu (2)5 (a)5] 5 32 o 3 2 Hence 3 2](http://img.homeworklib.com/questions/a432c4a0-9b39-11eb-8c48-cdd8a7e3b342.png?x-oss-process=image/resize,w_560)
Add Answer to:
(a)
i) For ∫(4x−4)(2x^2-4x+2)^4 dx (upper boundry =1, lower
=0)
Make the substitution u=2x^2−4x+2, and write...
1 (a) Consider the integral dx. e32 e-91 + e-6x +1 Make the substitution u =...
1 (a) Consider the integral dx. e32 e-91 + e-6x +1 Make the substitution u = e-34 and rewrite the integral in terms of u only. DO NOT attempt to evaluate the integral. (b) Let f(x) be a function with the properties that f(0) = 1, f(2) = 2, xf(x) dx = 4 and f(x) dx = 1. / 0 Use this information to find a se xf'(2) dr.
8. Using Chain Power Rule a) ∫ (3X^2 + 4)^5(6X) dx b) ∫](2X+3)^1/2] 2dx...
8. Using Chain Power Rule a) ∫ (3X^2 + 4)^5(6X) dx b) ∫](2X+3)^1/2] 2dx c) ∫X^3](5X^4+11)^9 dx d ∫(5X^2(X^3-4)^1/2 dx e) ∫(2X^2-4X)^2(X-1) dx f) ∫(X^2-1)/(X^3-3X)^3 dx g) ∫(X^3+9)^3(3X^2) dx h) ∫[X^2-4X]/[X^3-6X^2+2]^1/2 dx
How can u-substitution, where u=36x^2-1, be used to get this answer? Use a change of variables...
How can u-substitution, where u=36x^2-1, be used to get this
answer?
Use a change of variables or the table to evaluate the following definite integral. 216 dx x36x2 - 1 V216 s Click to view the table of general integration formulas. 216 dx TT 12 (Type an exact answer.) V216 xV36x2-1
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5)...
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
2. Since it is difficult to evaluate the integral / e dx exactly, we will approximate it using Maclaurin 0 polynomials...
2. Since it is difficult to evaluate the integral / e dx exactly, we will approximate it using Maclaurin 0 polynomials (a) Determine Pa(x), the 4th degree Maclaurin polynomial of the integrand e (b) Obtain an upper bound on the error in the integrand for a in the range 0 S x 1/2, when the integrand is approximated by Pi (r) (c) Find an approximation to the original integral by integrating Pa(x) (d) Obtain an upper bound on the error...
Systems of Equations: 3x + y = 6 2x-2y=4 Substitution: Elimination: Solve 1 equation for 1...
Systems of Equations: 3x + y = 6 2x-2y=4 Substitution: Elimination: Solve 1 equation for 1 variable. Find opposite coefficients for 1 variable. Rearrange. Multiply equation(s) by constant(s). Plug into 2nd equation Add equations together (lose 1 variable). Solve for the other variable. Solve for variable. Then plug answer back into an original equation to solve for the 2nd variable. y = 6 -- 3x solve 1" equation for y 6x +2y = 12 multiply 1" equation by 2 2x...
(3 points) Consider the indefinite integral X – 3 (3x - 2)2 dx. The substitution u...
(3 points) Consider the indefinite integral X – 3 (3x - 2)2 dx. The substitution u = 3x – 2 transforms the integral into: | du (This answer must be a function of u.) Note: You are not asked to evaluate the integral.
Tutorial Exercise Evaluate the integral using the substitution rule. sin(x) 1/3 1* dx cos(x) Step 1...
Tutorial Exercise Evaluate the integral using the substitution rule. sin(x) 1/3 1* dx cos(x) Step 1 of 4 To integrate using substitution, choose u to be some function in the integrand whose derivative (or some constant multiple of whose derivative) is a factor of the integrand. Rewriting a quotient as a product can help to identify u and its derivative. 70/3 1." sin(x) dx = L" (cos(x) since) dx cos?(X) Notice that do (cos(x)) = and this derivative is a...
Question 4 a) Differentiate with respect to x, i. y = sin 2x ii. y =...
Question 4 a) Differentiate with respect to x, i. y = sin 2x ii. y = x In(5x + 2) b) Show that if y = cotx, dy dx -cosec? x c) Show that if y = tan x, then dy dx 1 1+xal Question 5 Use calculus to find any turning points of the function A(t) = te-020 and determine their nature (maximum, minimum or inflexion) using any method. Question 6 a) Find tan” x dx b) Use integration...
please solve 21 and 25 only u want to use integration by parts to find J...
please solve 21 and 25 only
u want to use integration by parts to find J (5.x - 7) (x - 1) 4 dx, which is the better choice for u: U = 5x – 7 or u = (x - 1) 4? Explain your choice and then integrate. B blems 15–28 are mixed—some require integration by parts, others can be solved with techniques considered earlier. ntegrate as indicated, assuming x > 0 whenever the natural logarithm function is involved....
1 (a) Consider the integral dx. e32 e-91 + e-6x +1 Make the substitution u = e-34 and rewrite the integral in terms of u only. DO NOT attempt to evaluate the integral. (b) Let f(x) be a function with the properties that f(0) = 1, f(2) = 2, xf(x) dx = 4 and f(x) dx = 1. / 0 Use this information to find a se xf'(2) dr.
How can u-substitution, where u=36x^2-1, be used to get this
answer?
Use a change of variables or the table to evaluate the following definite integral. 216 dx x36x2 - 1 V216 s Click to view the table of general integration formulas. 216 dx TT 12 (Type an exact answer.) V216 xV36x2-1
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
2. Since it is difficult to evaluate the integral / e dx exactly, we will approximate it using Maclaurin 0 polynomials (a) Determine Pa(x), the 4th degree Maclaurin polynomial of the integrand e (b) Obtain an upper bound on the error in the integrand for a in the range 0 S x 1/2, when the integrand is approximated by Pi (r) (c) Find an approximation to the original integral by integrating Pa(x) (d) Obtain an upper bound on the error...
Systems of Equations: 3x + y = 6 2x-2y=4 Substitution: Elimination: Solve 1 equation for 1 variable. Find opposite coefficients for 1 variable. Rearrange. Multiply equation(s) by constant(s). Plug into 2nd equation Add equations together (lose 1 variable). Solve for the other variable. Solve for variable. Then plug answer back into an original equation to solve for the 2nd variable. y = 6 -- 3x solve 1" equation for y 6x +2y = 12 multiply 1" equation by 2 2x...
(3 points) Consider the indefinite integral X – 3 (3x - 2)2 dx. The substitution u = 3x – 2 transforms the integral into: | du (This answer must be a function of u.) Note: You are not asked to evaluate the integral.
Tutorial Exercise Evaluate the integral using the substitution rule. sin(x) 1/3 1* dx cos(x) Step 1 of 4 To integrate using substitution, choose u to be some function in the integrand whose derivative (or some constant multiple of whose derivative) is a factor of the integrand. Rewriting a quotient as a product can help to identify u and its derivative. 70/3 1." sin(x) dx = L" (cos(x) since) dx cos?(X) Notice that do (cos(x)) = and this derivative is a...
Question 4 a) Differentiate with respect to x, i. y = sin 2x ii. y = x In(5x + 2) b) Show that if y = cotx, dy dx -cosec? x c) Show that if y = tan x, then dy dx 1 1+xal Question 5 Use calculus to find any turning points of the function A(t) = te-020 and determine their nature (maximum, minimum or inflexion) using any method. Question 6 a) Find tan” x dx b) Use integration...
please solve 21 and 25 only
u want to use integration by parts to find J (5.x - 7) (x - 1) 4 dx, which is the better choice for u: U = 5x – 7 or u = (x - 1) 4? Explain your choice and then integrate. B blems 15–28 are mixed—some require integration by parts, others can be solved with techniques considered earlier. ntegrate as indicated, assuming x > 0 whenever the natural logarithm function is involved....
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago